Find Unit Digit in No Time | Unit Digit Tricks | SSC CGL Tricks

Unit Digit Trick:
To understand the concept of unit digit, we must know the concept of Cyclicity . This concept is mainly about the unit digit of a number and its repetitive pattern on being divided by a certain number
The concept of unit digit can be learned by figuring out the unit digits of all the single digit numbers from 0 - 9 when raised to certain powers.
These numbers can be broadly classified into three categories for this purpose:
1. Digits 0, 1, 5 & 6: When we observe the sequence of these digits, they all have the same unit's digit as the number itself when raised to any power, i.e. 0^n = 0, 1^n =1, 5^n = 5, 6^n = 6. Let's apply this concept to the following example.
Example: Find the unit digit of following numbers:
185563
Answer= 5
2716987
Answer= 1
15625369
Answer= 6
190654789321
Answer= 0
2. Digits 4 & 9: Both these numbers have a cyclicity of only two different digits as their unit's digit.
Let us take a look at how the powers of 4 operate: 41 = 4,
42 = 16,
43 = 64, and so on.
Hence, the power cycle of 4 contains only 2 numbers 4 & 6, which appear in case of odd and even powers respectively.
Likewise, the powers of 9 operate as follows:
91 = 9,
92 = 81,
93 = 729, and so on.
Hence, the power cycle of 9 also contains only 2 numbers 9 & 1, which appear in case of odd and even powers respectively.
So, broadly these can be remembered in even and odd only, i.e. 4odd = 4 and 4even = 6. Likewise, 9odd = 9 and 9even = 1.
Example: Find the unit digit of following numbers:
189562589743
Answer = 9 (since power is odd)
279698745832
Answer = 1(since power is even)
154258741369
Answer = 4 (since power is odd)
19465478932
Answer = 6 (since power is even)
3. Digits 2, 3, 7 & 8: These numbers have a power cycle of 4 different numbers.
21 = 2, 22 = 4, 23 = 8 & 24 = 16 and after that it starts repeating.
So, the Cyclicity of 2 has 4 different numbers 2, 4, 8, 6.
31 = 3, 32 = 9, 33 = 27 & 34 = 81 and after that it starts repeating.
So, the Cyclicity of 3 has 4 different numbers 3, 9, 7, 1.
7 and 8 follow similar logic.
So these four digits i.e. 2, 3, 7 and 8 have a unit digit Cyclicity of four steps.
Must Read Number System Articles
Number System: Concept of Unit Digit
Number System: Cyclicity of Remainders
Number System - Euler's theorem to find Remainder
Cyclicity Table
The concepts discussed above are summarized in the given table.
Number Cyclicity Power Cycle
1 1 1
2 4 2, 4, 8, 6
3 4 3, 9, 7, 1
4 2 4, 6
5 1 5
6 1 6
7 4 7, 9, 3, 1
8 4 8, 4, 2, 6
9 2 9, 1
10 1 0
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Chapters:
0:00 - Intro
0:50 - Example 1
2:15 - Example 2
3:17 - Example 3
4:50 - questions for practice
Voice - Piyush Soni
Editor - Parash Soni
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Thank You...

[@primeajay4743]

My answer.7and 6,6,9 this is my answer 😊😊😊😊😊

[@guptaji3874]

Aap ayese hi class banate rahiye please bahut helpful hota hai.

[@user-cr3gt2vn2y]

Answers 1. 7 2. 6 3. 6 4. 9

[@sharwankdubey4047]

Bahut badhiya

[@ayoutubeuser01]

👍😎 Awesome

[@XPOZE_GAMERZ]

Thanks for helping

[@poonampanwar4871]

Sir please make a video on partition numbers

[@altafbhat9404]

Sir please make a video on word problems in maths

[@Tam_Tam7]

Please 🙏 make a video on MOCK THEATA FUNCTION.And explain its derivation and its use 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏

[@anishakhatoon8733]

Thank you sir, youtube mein aaphe ki best solution h

[@STRONTIUM_Manush]

Bhaiya, kya aap bata shakte hai , ki logarithm ke maths karte samay hum Jo log table ka use karte hai uska values manually kaise calculate Kiya geya tha?? Jaise log2, log3, log5 ....... in sab ka value, without log table, without calculator kaise find Kiya geya tha ??

[@user-uq9hy1kb2i]

asa question hmm na kabi life ma nahi saki jo aap na trick batia bouth achaa hai ❤❤❤❤❤❤

[@oparjunofficial7393]

This is very helpful❤❤❤

[@Shivin_k]

Is any Vedic method of complex decimal division ?

[@psrgroup3914]

Thanks sir

[@karangupta9201]

Please make a video on remainder theorem

[@kirankale4088]

Any practical usage of this shortcut

[@TheLeoPoint]

Lovely

[@altafhussainbhat1856]

Sir please make a video on word problems

[@gulshan9213]

We keep supporting you 🤘

[@letsderive]

Thank you ❤️

[@sonusuthar5502]

It's really very brilliant 😲😲😲😲😲😃😃😃😃😃😃😃😃😃😄😄😄😄😄😄😀😀😀😀😀😀😀😀😀😀😀😀😀🤩🤩🤩🤩🤩🤩🤩🤩🤩🤩🤩🤩🤩🤩🤩🤩🤩🙂🤩🤩🤩🤩🤩🤩🤩🤩🤩🤩🤩🤩🤩

[@kirankale4088]

Where this method can be used

[@rajibnayak6645]

Sir, thumbnail meh jo question tha uska answer kya hoga?

[@SumitKumar-uq4df]

7 , 6 , 6, 9 my answer

[@debajoytiroy]

Sir 1st answer is 9

[@education6083]

Bro please make a video to find remainder, if a huge number is divided by a number. For example: Find remainder when 2023⁴³²/5

[@SurajKumar-wd8dw]

Remainder unit digit is 1

[@shreyagarg634]

Bhiya agar power mai factorial dai rkha ho

[@mathtide]

Bhai (27)^49^49 ka kon btayega?

[@zubairsaikha2449]

❤

[@Devendrarajput902]

Unit digit kise kahte hai

[@alpha_boat]

1 question ka 3 ans ha

[@user-mv4mn2gn2y]

❤❤❤❤❤

[@user-qn3mv4ty2d]

My answer is 7,6,6 and 9

[@rudra2036]

in second question when 16 came then why did u take 6 as a unit digit of the whole expression why not u took 1 ???

[@AnoopKumar-lz1tl]

Because unite digit (ikai ) ka ank poochha hai

[@pallavigogoi2498]

❤❤❤

[@supriyadas3172]

7,6,6,9

[@dalybhowmik7090]

Please sir make an english channel . This is very helpfull channel . english pease

[@dalybhowmik7090]

Please for the world i am an indian make english chanel .

[@SACHINFF3538]

Sir jo apna question diya tha unka ans1.3 question 2ans.6.3question ans.6 .4question ans.3. Sir ager mana enka answer sahi diye ha to comment karna❤❤❤❤❤❤

[@saeedakhatoon2226]

45°ka nahi aayega

[@Vishalk2255]

Question 1 hi 73÷4=18.5 hai to is parkar galat hai apka solution 😅

[@girishmishra4094]

your method not work on every problem

[@alpha_boat]

2 question ka 2 ha shayad

[@RehmanBhura]

Hi

[@SatyamYaduwanshi-pg5gw]

7 6 6 9

[@SarojsutharSarojsuthar94-vf8vx]

🫶🫰🫡🫡🫡👏👏👏👏👍

[@altafbhat9404]

Thanks sir

[@letsderive]

Welcome